Kylie has some chocolate bars and mini cupcakes. If she packs a chocolate bar and a mini cupcake in each bag, there will be 11 mini cupcakes left. If she packs 3 chocolate bars and 4 mini cupcakes in each bag, there will be 21 chocolate bars left. How many chocolate bars and mini cupcakes does she have in all?

	Case 1		Case 2
	Chocolate Bars	Mini Cupcakes	Chocolate Bars	Mini Cupcakes
Before	1 u	1 u + 11	3 p + 21	4 p
Change	- 1 u	- 1 u	- 3 p	- 4 p
After	0	11	21	0

The number of chocolate bars at first is the same for Case 1 and 2.
The number of mini cupcakes at first is also the same for Case 1 and 2.

1 u = 3 p + 21 --- (1)

1 u + 11 = 4 p
1 u = 4 p - 11 --- (2)

(2) = (1)
4 p - 11 = 3 p + 21
4 p - 3 p = 21 + 11

1 p = 32

Total number of chocolate bars and mini cupcakes
= (3 p + 21) + 4 p
= 7 p + 21
= 7 x 32 + 21
= 224 + 21
= 245

Answer(s): 245